Evaluate 4(3+1/4c-1/2d)

$4 (3 + \frac{1}{4} c - \frac{1}{2} d)$

Simplify each term.

Combine $\frac{1}{4}$ and $c$ .

$4 (3 + \frac{c}{4} - \frac{1}{2} d)$

Combine $d$ and $\frac{1}{2}$ .

$4 (3 + \frac{c}{4} - \frac{d}{2})$

Apply the distributive property.

$4 \cdot 3 + 4 \frac{c}{4} + 4 (- \frac{d}{2})$

Simplify.

Multiply $4$ by $3$ .

$12 + 4 \frac{c}{4} + 4 (- \frac{d}{2})$

Cancel the common factor of $4$ .

Cancel the common factor.

$12 + 4 \frac{c}{4} + 4 (- \frac{d}{2})$

Rewrite the expression.

$12 + c + 4 (- \frac{d}{2})$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{d}{2}$ into the numerator.

$12 + c + 4 \frac{- d}{2}$

Factor $2$ out of $4$ .

$12 + c + 2 (2) \frac{- d}{2}$

Cancel the common factor.

$12 + c + 2 \cdot 2 \frac{- d}{2}$

Rewrite the expression.

$12 + c + 2 (- d)$

Multiply $- 1$ by $2$ .

$12 + c - 2 d$